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Finding the Third Proportional to 59,126 and 86,960

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Solution

The third proportional to 59,126 and 86,960 is: 127,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,126 : 86,960 = 86,960 : x
  2. Step 2: Convert to fraction form
    59,126/86,960 = 86,960/x
  3. Step 3: Cross multiply
    59,126x = 86,960 × 86,960
  4. Step 4: Simplify right side
    59,126x = 7,562,041,600
  5. Step 5: Solve for x
    x = 7,562,041,600/59,126
  6. Step 6: Final answer
    x = 127,897.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.